International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 3, Pages 553-560

Thermo-visco-elastic Rayleigh waves under the influence of couple-stress and gravity

Tapan Kumar Das,1 P. R. Sengupta,1 and Lokenath Debnath2

1Indian Institute of Mechanics of Continua, 201, Manicktala Main Road, Suite No. 42, Calcutta 700054, West Bengal, India
2Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA

Received 10 August 1989; Revised 2 January 1991

Copyright © 1991 Tapan Kumar Das et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is concerned with thermo-visco-elastic Rayleigh waves under the influence of couple-stresses and gravity. A more general phase velocity equation for these waves is derived. It is shown that the phase velocity equation reduces to that of the classical elastic Rayleigh waves in the absence of the couple-stress parameter, viscosity and gravity.